Final answer:
375 can be expressed as the product of prime factors, which are 3 and 5 (specifically 3 x 5³). The process of determining this involves dividing 375 by the smallest prime numbers until only prime numbers are left.
Step-by-step explanation:
The question "Can 375 be expressed as the product of prime factors?" pertains to the mathematical concept of prime factorization, which is the process of breaking down a number into its prime number factors. Let's find the prime factors of 375.
To express 375 as the product of prime factors, you would start by dividing 375 by the smallest prime number possible, which is 2. Since 375 is odd, it is not divisible by 2, so you would then try the next smallest prime number, which is 3. The number 375 is divisible by 3, so you would divide 375 by 3 to get 125. Then, you continue to break down 125, which is 5³ or 5 x 5 x 5. Therefore, the prime factorization of 375 is 3 x 5 x 5 x 5, or 3 x 5³.
Given this, Option 1: True, is the correct answer since 375 can indeed be expressed as the product of prime factors.